Still a cheap deus ex machina to let you kill a character without any consequences. Kirk died before the big ship even went past the Enterprise, if I remember, so it would have been quite a few minutes for that, the crash, Khan to get out of the wreckage, Spock to beam down and chase him and subdue him, and then get him back up there. I know that they froze Kirk to keep him from "dying any more", I guess. The tribble didn't die of radiation poisoning, so it suggests the super blood cures more than just that. Not to mention that they had 72 other super-dudes too, and didn't actually specifically need Khan so badly. And even beyond any of that, I'm pretty sure the Star Trek world will conveniently forget that a good dose of superblood can save someone who has technically died of radiation poisoning.
I did notice the bit with the computer, but if you're going to set a big, tense, spaceship-aiming-for-Starfleet destruction sequence, you really need more than that if the crash was actually nowhere near Starfleet headquarters. It's possible someone mentioned it and I just missed it, but it bugged me a fair bit. I figured the reason it hit the water first was because that was the only way Khan could have credibly survived the crash landing.
Again, I did like the movie. Just not that ending sequence. It felt like entertainment for entertainment's sake, like the movie wanted to do big things without earning them first.
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